由3.3(a)最后一式
1?t1?nnn?N()2(l)()2?1(t)(e)2N(0)?1???hnhnhnh R0?h1h?1nnn???te2N0(t)2(l)N()2?1()()()?1nhnhnh?h?h?h数字
(ntne2Nn01.521.3541)()()??()?()?0.0341 nhnhnh2.32.32.32?R0??0.9340,R0?0.8724
4-1.
对TEM E?E0e,H?ikzE0?eikz
E1S?E?H?0
22?传输平均功率 W?s?A
2A?10?3?10?2m2?10?5m2数字： E0?2?0.5vm?1
???0?377???2.7?02.7E02?2则： W??A?1.09?10?8瓦
4－2：
设激发TM波，由3.4 （11）得：
m?xikzz??Hcosez?0?m?d?m?0Hy?????Hcosm?xe?ikzzz?0?m?d?m?0m?xikzz?kz?Hkcose?mz??Hd1???m?0yEx????i???zm?x?ikzz?kzHkcose?mz?d???m?0由边界条件 Ex
z?0z?0z?0??Ex?Hyz?0?
Hy?z?0?z?0???Jx??Jscos3?x dm?0?2Hmcosm?x3?x??Jxcosddm?3m?3
?1??J?Hm??2x??04-3. TM：
TMkcm?m?d1??0?0????m?d1??0?,(m?0,1,2,???)TMfcm?kTMcmcm2d1?
2??0??0????0TE;
TEkcm?(2m?1)?2d1??0?0??1(m?)?2?d1??0?TEfcm?1c(m?)22d1?
?0????0,m?(1,2,???)?3数字：??3?0,d?5?10m
则：
TM0对于TM0,m?0,?cm?0对于TE1,m?1,,?c?66.6GHz4-6.
22222由 P.161,(46) (kxd)?(?1xd)?(k?k1)d
数字上: k?k1d?22?cd1.56?1.25?2?
应用 P.162,Fig.3.5.10,现有 m?0,1,2
波模 TE0 TM0 0 TE1 12GHz TM1 12GHz TE2 24GHz TM2 24GHz 截止频率f 4-7.
0 TMmn中m?0及n?0时
?cmn?1?0?0(m?2n?1)?()2,?c?3?108ms ab?0?0a?1cm,b?0.5cm波模 TE10 TE01 TE20 TE11 TM11 ?c fc 94.2GHz 188.5GHz 210.75GHz 15GHz 30GHz 33.54GHz 当工作频率为：f?20GHz,仅TE10可传播
kz10??2?0?0?()2?277.1m?1a??p?4-9.
?kz10
?4.54?108ms(a).由3.7 (5) kr?()2?()2 ab??令
a?b?x,记kr?2??0
则有：x??02
当?0?10mm时，x?7.07mm （b）.由3.7 (8)
x3x(2)3?0??22?Q??44????04??2(2x?x)?12 000
???4?107?m,数值上,Q?2564 4-10.
?0?376.7?0介质扰动时,由 3.7 (34) ：
???0?Wm??We?? ?Wm?We介质板???0,?Wm?0：
???0??We ??W对TM110,总能量,W??0又由 3.7 (33)
abd2E110 8ab?11?x?y2*2??E?Edv?(???)E(sinsin)dxdydz000110??????00044ab
1ab?2?(???0)E11044?We?代入上式得:
12(???0)ab?E110???01???16??(?r?1)
1?2d2?0abdE11085-1.
(a)
?j1?xIl?(r')
)f1(?,?)?xIl?j2?yiIl?(r')
?(rsin?cos???cos?cos???sin?)Il))
)f2(?,?)?yiIl总：
?(rsin?sin???cos?sin???cos?)iIl?f???f? ?fr??f?f1?f2?r?由 4.4节 （5）
))
（b）在xoy面在平行z?轴 5-2.
(a) 4.6(1)
E?i??eikr??4?r(?f???f) ?i??leikr4?r[??(cos?cos??icos?sin?)???(?sin??icos?)] ?i??leikri???4?re[?cos??i?]???2?cos??0
eikrE????l?4?r?
为线性极化
??0?cos??1
eikrE?i??Ili??4?re[??i??] 为圆极化波
J?r???z?N?1Il?ein???0(x')?(y')?(z'?nd)
n?f??dx'?dy'?J(r')dz'exp???ik(x'sin?cos??y'sin?sin??z'cos?)???z?N?1Il?e?in(kdcos???)
n?0Qz??r?cos????sin? ?E?i??eikr????4?r???f???f?????i??IleikrN?1E?4?rsin??e?in(kdcos???) （1）
n?0
电磁波理论案1-6章0
